What is the Least Common Multiple of 84491 and 84503?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 84491 and 84503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84491 and 84503, than apply into the LCM equation.

GCF(84491,84503) = 1
LCM(84491,84503) = ( 84491 × 84503) / 1
LCM(84491,84503) = 7139742973 / 1
LCM(84491,84503) = 7139742973

Least Common Multiple (LCM) of 84491 and 84503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84491 and 84503. First we will calculate the prime factors of 84491 and 84503.

Prime Factorization of 84491

Prime Factorization of 84503

Now multiplying the highest exponent prime factors to calculate the LCM of 84491 and 84503.

LCM(84491,84503) = 11¹ × 7681¹ × 84503¹
LCM(84491,84503) = 7139742973